NUMERICAL METHODS FOR SMOOTH AND CRYSTALLINE CURVATURE FLOW Yen-Hsi Richard Tsai Abstract. We present two numerical methods for planar anisotropic mean curvature flow. The methods are based on the variational approach of Alm- gren, Taylor and Wang, and Chambolle. Our approach uses the Split-Bregman method for total variation minimization. In the crystalline anisotropy case, we derive an algorithm for a corresponding crystalline shrink- age (or soft thresholding) problem. In the smooth anisotropy case, we show that the Split-Bregman method yields an algorithm related to the inverse scale space flow of Burger, et al. This is a joint work with A. Oberman, S. Osheer, and R. Takei.